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2 years ago

What is the solution to the system of equations below? x + 3 y = 15 and 4 x + 2 y = 30 (7 , 2) (2, 7) (4, 3) (3, 4)

Mathematics

1 answer:

DanielleElmas [232]2 years ago

3 0

Here you go! Hope this helps!

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Bobby is testing the effectiveness of a new cough medication. There are 100 people with a cough in the study. Seventy patients r

Tresset [83]

Answer:

0.665

Step-by-step explanation:

Given: 100 people are split into two groups 70 and 30. I group is given cough syrup treatment but second group did not.

Prob for a person to be in the cough medication group = 0.70

Out of people who received medication, 34% did not have cough

Prob for a person to be in cough medication and did not have cough

= $\frac{0.70(34)}{60}=0.397$

Prob for a person to be not in cough medication and did not have cough

= $\frac{0.3(20)}{30}=0.20$

Probability for a person not to have cough

= P(M1C')+P(M2C')

where M1 = event of having medication and M2 = not having medication and C' not having cough

This is because M1 and M2 are mutually exclusive and exhaustive

SO P(C') = 0.397+0.2=0.597

Hence required prob =P(M1/C') = $\frac{0.397}{0.597}=0.665$

4 0

2 years ago

Read 2 more answers

Whats 21/40 in equivalent decimals

GREYUIT [131]

The equivalent decimals for 21/40 is 0.525

5 0

2 years ago

Find the distance between the points (1,8) and (9, 2).

grin007 [14]

Answer:

$distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2 }\\\\$

$=\sqrt{(9-1)^2+(2-8)^2 }\\\\=\sqrt{8^2 + 6^2}\\\\=\sqrt{64 +36 }\\\\=\sqrt{100} = 10units$

6 0

3 years ago

1/2 of Ila’s workspace is covered in paper. 1/3 of the paper is covered in yellow sticky notes. What fraction of Ila’s workspace

Gennadij [26K]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

We have been given that 1/2 of Ila’s work-space is covered in paper. 1/3 of the paper is covered in yellow sticky notes.

Ila’s work-space is covered in yellow sticky notes would be 1/3 of 1/2.

$\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1}{3}\times \frac{1}{2}$

$\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1\times1}{3\times 2}$

$\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1}{6}$

Therefore, $\frac{1}{6}$ of Ila’s workspace is covered in yellow sticky notes.

7 0

3 years ago

One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?

iogann1982 [59]

Answer:

22 divided 5 I would think

Step-by-step explanation:

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2 years ago